Cappell-Shaneson homotopy spheres are standard

2010/04/25 by Selman Akbulut · 1 citation
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Topology and Set Theory #Advanced Combinatorial Mathematics #Mathematics #SPHERES #Homotopy #Pure mathematics #Physics

paper · pdf · doi:10.4007/annals.2010.171.2171

openalex publication_date 2010/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/18

Abstract

We show here that an infinite sequence of homotopy 4-spheres constructed by Cappell-Shaneson are all diffeomorphic to S 4 . This generalizes previous results of

Citations

• Some New Four-Manifolds
• Man and machine thinking about the smooth 4-dimensional Poincaré conjecture

Cited by

• Exotic sphere [wikipedia]

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